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Listar por palabra clave "Composition operators"

Mostrando ítems 1-12 de 12

A note on mean ergodic composition operators on spaces of holomorphic functions

Bonet Solves, José Antonio; Domanski, Pawel (Springer Verlag (Germany), 2011-09)

We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded. This condition is equivalent to the ...
Associated weights for spaces of p-integrable entire functions

Bonet Solves, José Antonio; Mangino, Elisabetta M. (Informa UK (National Inquiry Services Center), 2020-08-03)

[EN] In analogy to the notion of associated weights for weighted spaces of analytic functions with sup-norms, p-associated weights are introduced for spaces of entire p-integrable functions, 1 <= p < infinity. As an ...
Disjoint hypercyclic linear fractional composition operators

Bes, J.; Martin O.; Peris Manguillot, Alfredo (Elsevier, 2011)

We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-González. ...
Hypercyclic algebras for convolution and composition operators

Bès, J.; Conejero, J. Alberto; Papathanasiou, D. (Elsevier, 2018)

[EN] We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the operator D of complex differentiation supports a hypercyclic algebra on the space of entire functions. In particular we obtain ...
Isomorphisms on weighed Banach spaces of harmonic and holomorphic functions

Jorda Mora, Enrique; Zarco García, Ana María (Hindawi Publishing Corporation, 2013)

For an arbitrary open subset U subset of R-d or U subset of C-d and a continuous function v : U ->]0,infinity[ we show that the space h(v0) (U) of weighed harmonic functions is almost isometric to a (closed) subspace of ...
Mean ergodic composition operators on generalized Fock spaces

Seyoum, Werkaferahu; Mengestie, Tesfa; Bonet Solves, José Antonio (Springer-Verlag, 2019-12-05)

[EN] Every bounded composition operator C psi defined by an analytic symbol psi on the complex plane when acting on generalized Fock spaces F phi p,1 <= p <=infinity and p=0, is power bounded. Mean ergodic and uniformly ...
Operator-weighted composition operators between weighted spaces of vector-valued analytic functions

Bonet Solves, José Antonio; Gómez Collado, María del Carmen; Jornet Casanova, David; Wolf, Elke (Suomalainen Tiedeakatemia (Finnish Academy of Science and Letters), 2012)

We investigate several properties of operator-weighted composition maps W-psi,W-phi f (right bar arrow) psi(f o phi) on unweighted H (D, X) and weighted H-nu(infinity) (D, X) spaces of vector-valued analytic functions on ...
Power bounded composition operators on spaces of meromorphic functions

Gómez Collado, María Del Carmen; Jorda Mora, Enrique; Jornet Casanova, David (Elsevier, 2016-04-15)

[EN] We study composition operators with holomorphic symbols defined on spaces of meromorphic functions, when endowed with their natural locally convex topology. First, we show that such operators are well-defined, continuous ...
THE FRECHET SCHWARTZ ALGEBRA OF UNIFORMLY CONVERGENT DIRICHLET SERIES

Bonet Solves, José Antonio (Cambridge University Press, 2018)

[EN] The algebra of all Dirichlet series that are uniformly convergent in the half-plane of complex numbers with positive real part is investigated. When it is endowed with its natural locally convex topology, it is a ...
Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

Bonet Solves, José Antonio (Springer-Verlag, 2022-10)

[EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them. Results about the solid ...
Weighted Banach spaces of harmonic functions

Jorda Mora, Enrique; Zarco García, Ana María (Springer Verlag, 2014-09)

We study Banach spaces of harmonic functions on open sets of or endowed with weighted supremum norms. We investigate the harmonic associated weight defined naturally as the analogue of the holomorphic associated weight ...
Weighted vector-valued holomorphic functions on Banach spaces

Jorda Mora, Enrique (Hindawi Publishing Corporation, 2013)

We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a ...